a rational point of an algebraic variety is a point whose coordinates belong to a given field. If the field is not mentioned, the field of rational numbers...

Rationality is the quality of being guided by or based on reason. In this regard, a person acts rationally if they have a good reason for what they do...

rational point is a point with rational coordinates (i.e., a point whose coordinates are rational numbers); a rational matrix is a matrix of rational...

expressed as a ratio of two integers Rational point of an algebraic variety, a point defined over the rational numbers Rational function, a function that may...

are said k-rational or rational over k. In the common case where k is the field of real numbers, a k-rational point is called a real point. When the field...

the rational normal curve, where all these polynomials are monomials. Any conic section defined over F with a rational point in F is a rational curve...

hypersurface at a single other point, which is rational if and only if the line is rational (that is, if the line is defined by rational parameters). This allows...

Gaussian rational number is a complex number of the form p + qi, where p and q are both rational numbers. The set of all Gaussian rationals forms the...

establishes that each rational point of the x-axis goes over to a rational point of the unit circle. The converse, that every rational point of the unit circle...

rational point (a/c, b/c), which, in the complex plane, is just a/c + ib/c, where i is the imaginary unit. Conversely, if (x, y) is a rational point on...